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Page 1 T i m e : 3 H r s . | M . M . : 8 0 G e n e r a l I n s t r u c t i o n s : - 1 . S e c t i o n - A Q . N o . 1 t o 1 0 c a r r i e s 1 m a r k e a c h . 2 . S e c t i o n - B Q . N o . 1 1 t o 2 0 c a r r i e s 3 m a r k s e a c h . 3 . S e c t i o n - C Q N o . 2 1 t o 3 0 c a r r i e s 4 m a r k s e a c h . S e c t i o n - A 1 . F i n d t h e p r i m e f a c t o r s o f 6 4 . 2 . A r r a n g e t h e n u m b e r s i n i n c r e a s i n g o r d e r 0 , - 3 , 5 , - 7 , 1 , - 2 3 . A d d w i t h o u t u s i n g t h e n u m b e r l i n e 5 , - 4 4 . I f a = 4 a n d b = 2 , t h e n f i n d t h e v a l u e a + 5 b 5 . S o l v e t h e e q u a t i o n : - 9 = d + 2 6 . F i l l I n t h e b l a n k s i . A d i t i o n a n d _ _ _ _ _ _ _ _ _ _ a r e t w o i n v e r s e o p e r a t i o n s . i i . T h e v a l u e o f x i n t h e e q u a t i o n i s _ _ _ _ _ _ _ _ . 7 . S i m p l i f y : - 8 . F i r s t s e c o n d a n d t h i r d t e r m s o f a p r o p o r t i o n a r e r e s p e c t i v e l y 2 0 , 1 8 a n d 4 0 , f i n d i t s f o u r t h t e r m . 9 . F i n d t h e b r e a d t h o f a r e c t a n g l e w h o s e l e n g t h i s 7 0 c m a n d p e r i m e t e r 2 0 0 c m . 1 0 . F i n d t h e l e n g t h o f a r e c t a n g l e w h o s e a r e a i s 1 3 5 c m 2 a n d b r e a d t h 9 c m . S E C T I O N - B 1 1 . F i n d t h e l a r g e s t n u m b e r s w h i c h d i v i d e 2 4 5 a n d 1 0 2 9 , l e a v i n g r e m a i n d e r 5 i n e a c h c a s e 1 2 . U s e t h e n u m b e r l i n e a n d a d d t h e I n t e g e r s : - 1 + ( - 2 ) + 2 1 3 . I f a = 6 a n d x = 2 , f i n d t h e v a l u e o f 1 4 . W r i t e a n d s o l v e t h e e q u a t i o n : - O n e - h a l f o f o n e - t h l r d o f a n u m b e r Y e q u a l s 6 . W h a t i s t h e Page 2 T i m e : 3 H r s . | M . M . : 8 0 G e n e r a l I n s t r u c t i o n s : - 1 . S e c t i o n - A Q . N o . 1 t o 1 0 c a r r i e s 1 m a r k e a c h . 2 . S e c t i o n - B Q . N o . 1 1 t o 2 0 c a r r i e s 3 m a r k s e a c h . 3 . S e c t i o n - C Q N o . 2 1 t o 3 0 c a r r i e s 4 m a r k s e a c h . S e c t i o n - A 1 . F i n d t h e p r i m e f a c t o r s o f 6 4 . 2 . A r r a n g e t h e n u m b e r s i n i n c r e a s i n g o r d e r 0 , - 3 , 5 , - 7 , 1 , - 2 3 . A d d w i t h o u t u s i n g t h e n u m b e r l i n e 5 , - 4 4 . I f a = 4 a n d b = 2 , t h e n f i n d t h e v a l u e a + 5 b 5 . S o l v e t h e e q u a t i o n : - 9 = d + 2 6 . F i l l I n t h e b l a n k s i . A d i t i o n a n d _ _ _ _ _ _ _ _ _ _ a r e t w o i n v e r s e o p e r a t i o n s . i i . T h e v a l u e o f x i n t h e e q u a t i o n i s _ _ _ _ _ _ _ _ . 7 . S i m p l i f y : - 8 . F i r s t s e c o n d a n d t h i r d t e r m s o f a p r o p o r t i o n a r e r e s p e c t i v e l y 2 0 , 1 8 a n d 4 0 , f i n d i t s f o u r t h t e r m . 9 . F i n d t h e b r e a d t h o f a r e c t a n g l e w h o s e l e n g t h i s 7 0 c m a n d p e r i m e t e r 2 0 0 c m . 1 0 . F i n d t h e l e n g t h o f a r e c t a n g l e w h o s e a r e a i s 1 3 5 c m 2 a n d b r e a d t h 9 c m . S E C T I O N - B 1 1 . F i n d t h e l a r g e s t n u m b e r s w h i c h d i v i d e 2 4 5 a n d 1 0 2 9 , l e a v i n g r e m a i n d e r 5 i n e a c h c a s e 1 2 . U s e t h e n u m b e r l i n e a n d a d d t h e I n t e g e r s : - 1 + ( - 2 ) + 2 1 3 . I f a = 6 a n d x = 2 , f i n d t h e v a l u e o f 1 4 . W r i t e a n d s o l v e t h e e q u a t i o n : - O n e - h a l f o f o n e - t h l r d o f a n u m b e r Y e q u a l s 6 . W h a t i s t h e n u m b e r ? 1 5 . A b a g c o n t a i n s 5 k g o f r i c e ; 1 5 0 0 g m h a v e b e e n t a k e n o u t f o r c o o k i n g . W h a t i s t h e r a t i o o f t h e a m o u n t t a k e n o u t t o t h e a m o u n t l e f t i n t h e b a g ? 1 6 . T h e r a t i o o f t h e i n c o m e t o t h e e x p e n d i t u r e o f a f a m i l y i s 7 : 6 . F i n d t h e s a v i n g s i f t h e i n c o m e i s R s . 2 1 0 0 0 . 1 7 . D r a w a l i n e s e g m e n t A B , 1 0 c m l o n g . U s e r u l e r a n d c o m p a s s e s t o d i v i d e A B I n t o f o u r e q u a l p a r t s . W h a t i s t h e l e n g t h o f e a c h p a r t ? 1 8 . F i n d t h e c o s t o f f e n c i n g a r e c t a n g u l a r p a r k o f l e n g t h 3 5 0 m a n d b r e a d t h 2 5 0 m a t t h e r a t e o f R s 1 8 . 5 0 p e r m e t r e . 1 9 . A t i l e m e a s u r e s 1 0 c m 1 0 c m . H o w m a n y s u c h t i l e s a r e r e q u i r e d t o c o v e r a w a l l 4 m 2 . 5 m ? 2 0 . T h e t a b l e s h o w s t h e n u m b e r o f T V s e t s s o l d a t D i w a k a r ’ s s t o r e . M a k e a p i c t o g r a p h b y u s i n g p i c t u r e s . J u l y 2 0 A u g u s t 4 0 S e p t e m b e r 2 5 O c t o b e r 3 0 S E C T I O N - C 2 1 . T h e f o l l o w i n g w e r e t h e s c o r e s o f R e d H o u s e i n f i v e r o u n d s o f a n I n t e r H o u s e Q u i z c o m p e t i t i o n : - 1 0 , + 5 , - 4 , - 3 , + 1 5 . W h a t w e r e t h e f i n a l s c o r e ? 2 2 . I n a w a l k i n g c o m p e t i t i o n , t h r e e p e r s o n s s t e p o f f t o g e t h e r . T h e i r s t e p s m e a s u r e 8 5 c m , 9 0 c m a n d 8 0 c m r e s p e c t i v e l y . A t w h a t d i s t a n c e f r o m t h e s t a r t i n g p o i n t w i l l t h e y a g a i n s t e p o f f t o g e t h e r ? 2 3 . I f a = 5 , b = - 6 a n d c = 1 0 , f i n d t h e v a l u e o f i . i i . 6 c - 2 a b 2 4 . W r i t e a n e q u a t i o n a n d s o l v e . i . F i v e m u l t i p l i e d b y t h e n u m b e r g i v e s 4 0 . i i . E i g h t m o r e t h a n t h e n u m b e r i s 1 7 . 2 5 . A b a g c o n t a i n s t o m a t o e s , p o t a t o e s a n d o n i o n s i n t h e r a t i o 6 : 9 : 5 . I f t h e w e i g h t o f t h e s e v e g e t a b l e s i n t h e b a g i s 2 k g , f i n d t h e w e i g h t o f e a c h o f t h e m . Page 3 T i m e : 3 H r s . | M . M . : 8 0 G e n e r a l I n s t r u c t i o n s : - 1 . S e c t i o n - A Q . N o . 1 t o 1 0 c a r r i e s 1 m a r k e a c h . 2 . S e c t i o n - B Q . N o . 1 1 t o 2 0 c a r r i e s 3 m a r k s e a c h . 3 . S e c t i o n - C Q N o . 2 1 t o 3 0 c a r r i e s 4 m a r k s e a c h . S e c t i o n - A 1 . F i n d t h e p r i m e f a c t o r s o f 6 4 . 2 . A r r a n g e t h e n u m b e r s i n i n c r e a s i n g o r d e r 0 , - 3 , 5 , - 7 , 1 , - 2 3 . A d d w i t h o u t u s i n g t h e n u m b e r l i n e 5 , - 4 4 . I f a = 4 a n d b = 2 , t h e n f i n d t h e v a l u e a + 5 b 5 . S o l v e t h e e q u a t i o n : - 9 = d + 2 6 . F i l l I n t h e b l a n k s i . A d i t i o n a n d _ _ _ _ _ _ _ _ _ _ a r e t w o i n v e r s e o p e r a t i o n s . i i . T h e v a l u e o f x i n t h e e q u a t i o n i s _ _ _ _ _ _ _ _ . 7 . S i m p l i f y : - 8 . F i r s t s e c o n d a n d t h i r d t e r m s o f a p r o p o r t i o n a r e r e s p e c t i v e l y 2 0 , 1 8 a n d 4 0 , f i n d i t s f o u r t h t e r m . 9 . F i n d t h e b r e a d t h o f a r e c t a n g l e w h o s e l e n g t h i s 7 0 c m a n d p e r i m e t e r 2 0 0 c m . 1 0 . F i n d t h e l e n g t h o f a r e c t a n g l e w h o s e a r e a i s 1 3 5 c m 2 a n d b r e a d t h 9 c m . S E C T I O N - B 1 1 . F i n d t h e l a r g e s t n u m b e r s w h i c h d i v i d e 2 4 5 a n d 1 0 2 9 , l e a v i n g r e m a i n d e r 5 i n e a c h c a s e 1 2 . U s e t h e n u m b e r l i n e a n d a d d t h e I n t e g e r s : - 1 + ( - 2 ) + 2 1 3 . I f a = 6 a n d x = 2 , f i n d t h e v a l u e o f 1 4 . W r i t e a n d s o l v e t h e e q u a t i o n : - O n e - h a l f o f o n e - t h l r d o f a n u m b e r Y e q u a l s 6 . W h a t i s t h e n u m b e r ? 1 5 . A b a g c o n t a i n s 5 k g o f r i c e ; 1 5 0 0 g m h a v e b e e n t a k e n o u t f o r c o o k i n g . W h a t i s t h e r a t i o o f t h e a m o u n t t a k e n o u t t o t h e a m o u n t l e f t i n t h e b a g ? 1 6 . T h e r a t i o o f t h e i n c o m e t o t h e e x p e n d i t u r e o f a f a m i l y i s 7 : 6 . F i n d t h e s a v i n g s i f t h e i n c o m e i s R s . 2 1 0 0 0 . 1 7 . D r a w a l i n e s e g m e n t A B , 1 0 c m l o n g . U s e r u l e r a n d c o m p a s s e s t o d i v i d e A B I n t o f o u r e q u a l p a r t s . W h a t i s t h e l e n g t h o f e a c h p a r t ? 1 8 . F i n d t h e c o s t o f f e n c i n g a r e c t a n g u l a r p a r k o f l e n g t h 3 5 0 m a n d b r e a d t h 2 5 0 m a t t h e r a t e o f R s 1 8 . 5 0 p e r m e t r e . 1 9 . A t i l e m e a s u r e s 1 0 c m 1 0 c m . H o w m a n y s u c h t i l e s a r e r e q u i r e d t o c o v e r a w a l l 4 m 2 . 5 m ? 2 0 . T h e t a b l e s h o w s t h e n u m b e r o f T V s e t s s o l d a t D i w a k a r ’ s s t o r e . M a k e a p i c t o g r a p h b y u s i n g p i c t u r e s . J u l y 2 0 A u g u s t 4 0 S e p t e m b e r 2 5 O c t o b e r 3 0 S E C T I O N - C 2 1 . T h e f o l l o w i n g w e r e t h e s c o r e s o f R e d H o u s e i n f i v e r o u n d s o f a n I n t e r H o u s e Q u i z c o m p e t i t i o n : - 1 0 , + 5 , - 4 , - 3 , + 1 5 . W h a t w e r e t h e f i n a l s c o r e ? 2 2 . I n a w a l k i n g c o m p e t i t i o n , t h r e e p e r s o n s s t e p o f f t o g e t h e r . T h e i r s t e p s m e a s u r e 8 5 c m , 9 0 c m a n d 8 0 c m r e s p e c t i v e l y . A t w h a t d i s t a n c e f r o m t h e s t a r t i n g p o i n t w i l l t h e y a g a i n s t e p o f f t o g e t h e r ? 2 3 . I f a = 5 , b = - 6 a n d c = 1 0 , f i n d t h e v a l u e o f i . i i . 6 c - 2 a b 2 4 . W r i t e a n e q u a t i o n a n d s o l v e . i . F i v e m u l t i p l i e d b y t h e n u m b e r g i v e s 4 0 . i i . E i g h t m o r e t h a n t h e n u m b e r i s 1 7 . 2 5 . A b a g c o n t a i n s t o m a t o e s , p o t a t o e s a n d o n i o n s i n t h e r a t i o 6 : 9 : 5 . I f t h e w e i g h t o f t h e s e v e g e t a b l e s i n t h e b a g i s 2 k g , f i n d t h e w e i g h t o f e a c h o f t h e m . 2 6 . W h i c h c a r h a s a b e t t e r s p e e d - t h e o n e c o v e r i n g 2 4 0 k m i n 5 h o u r s o r t h e o t h e r c o v e r i n g 1 8 0 k m i n 4 h o u r s ? 2 7 . W i t h c o m p a s s e s a n d a r u l e r , c o n s t r u c t e a c h o f t h e f o l l o w i n g a n g l e s a . b . 2 8 . A n i l r u n s a r o u n d a s q u a r e f i e l d o f s i d e 6 0 m f o u r t i m e s . W h a t d i s t a n c e d o e s h e c o v e r ? V i n a y r u n s t w i c e a r e c t a n g u l a r f i e l d w i t h l e n g t h 1 8 0 m a n d b r e a d t h 1 1 0 m . W h a t d i s t a n c e d o e s h e c o v e r ? W h o c o v e r s m o r e d i s t a n c e a n d b y h o w m u c h ? 2 9 . T h e l e n g t h o f a r e c t a n g u l a r p l o t o f a l a n d i s t w i c e i t s b r e a d t h . I f t h e p e r i m e t e r o f t h e p l o t b e 3 0 0 m , f i n d i t s a r e a . 3 0 . D r a w a b a r g r a p h t o s h o w t h e b e l o w g i v e n I n f o r m a t i o n . D a y s A t t e n d a n c e i n c l a s s M o n . 3 0 T u e s . 2 8 W e d . 2 5 T h u r s . 2 9 F r i . 3 4 S a t . 3 2Read More
FAQs on Class 6 Math: CBSE Past Year Paper - 2
| 1. What is the CBSE Class 6 Math exam pattern? |  |
Ans. The CBSE Class 6 Math exam pattern usually consists of a multiple-choice question (MCQ) section and a descriptive section. The MCQ section tests the students' knowledge and understanding of various concepts through objective questions, while the descriptive section assesses their problem-solving and reasoning abilities through subjective questions.
| 2. How can I prepare effectively for the CBSE Class 6 Math exam? | |
Ans. To prepare effectively for the CBSE Class 6 Math exam, it is recommended to follow these tips:
- Understand the syllabus and exam pattern thoroughly.
- Create a study schedule and allocate time to each topic.
- Practice regularly by solving sample papers and previous year question papers.
- Seek help from your teachers or classmates in case of doubts.
- Revise the concepts regularly and make concise notes for quick revision.
- Stay calm and confident during the exam.
| 3. What are the important topics in CBSE Class 6 Math? | |
Ans. Some of the important topics in CBSE Class 6 Math include:
- Number system
- Basic geometrical concepts
- Integers
- Fractions and decimals
- Algebraic expressions and equations
- Ratio and proportion
- Data handling
- Mensuration
- Practical geometry
| 4. Are there any recommended reference books for CBSE Class 6 Math? | |
Ans. While the NCERT textbooks are the primary resource for CBSE Class 6 Math, some recommended reference books for additional practice and deeper understanding are:
- Mathematics for Class 6 by R.D. Sharma
- Mathematics for Class 6 by RS Aggarwal
- Mathematics for Class 6 by NCERT Exemplar
| 5. How can I improve my problem-solving skills for CBSE Class 6 Math? | |
Ans. To improve problem-solving skills for CBSE Class 6 Math, you can:
- Practice solving a variety of problems from different sources.
- Understand the concepts and formulas thoroughly.
- Break down complex problems into smaller, manageable steps.
- Look for patterns and connections between different mathematical concepts.
- Seek guidance from your teacher or tutor whenever you face difficulty.
- Analyze your mistakes and learn from them to avoid repetition.
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